Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:

In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus,
. We use this to find k.







Then

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So


The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Answer:
30× 60 ( 3×2= 6 + tens= 60 )= minimum- 180 fery
Answer:
3x6
(3)(6)
6+6+6
for represent the situation
Step-by-step explanation:
the dining room has 3 tables
and at each table there are 6 chairs so multiplication is the operation to use to find the total
therefore the other operations do not represent the situation
but 6+6+6 represents because it is also equal to 18
Answer:
x = -4 / 3
Step-by-step explanation:
step 1. simplify 4x2 to 8
8+6x=0
step 2. subtract 8 from both sides.
6x = -8
step 3. divide in both sides by 6.
x = - 8 / 6
step 4. simplify 8/6 to 4/3.
x = -4 / 3
Answer:
C. 24 and 96
Step-by-step explanation:
He starts with 3 and follows the rules. multiply by 2
which numbers could be in devons pattern?
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
24 × 2 = 48
48 × 2 = 96
96 × 2 = 192
The numbers that could be in Devon's pattern includes: 6, 12, 24, 48, 96, 192 etc
Therefore, the answer is C. 24 and 96